Method for diagnosing heart disease, predicting sudden death, and analyzing treatment response using multifractal analysis
a multi-fractal analysis and heart disease technology, applied in the field of heart disease diagnosis, can solve the problems of too large abnormality percentage to be removed by prior art methods, and achieve the effects of reducing the minimum size, increasing analytic detail, and reducing the snapshot siz
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1. Multifractal Holder Analysis and Calculation of the Multifractal Cascade Coefficient
[0092]Fractal analysis is a concept extending traditional statistical analysis to the study of self-similar phenomena. For example, the branching of a tree, the human gut lining, and the human bronchial pathway are fractal or “self-similar.” The base of the tree or bronchial stem, for example, shows the same self-similar basic branching pattern that all subsequent branches show, until one reaches the endpoint, namely, leaves, gut microvilli or pulmonary alveoli in these examples. This independence of scale (that is, fractal scaling) is the essence of fractal analysis.
[0093]Wavelet analysis as described above acts like a mathematical microscope, and can cleanly separate scale from scale, so each scale can be compared to its adjacent ones for the existence of fractal scaling. This is a major advance over DFA, which only filters out the lower frequency components at each scale. The continuous wavelet...
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